answersLogoWhite

0


Best Answer

Find the two varying exterior angles. For example, if they are alternating 120 degrees and 150 degrees, the external angles must be 60 degrees and 30 degrees. Since the sum of external angles for every polygon is 360, you can add 30 and 60 (the two varying external angles) = 90 degrees, then divide 360 by 90 and multiply by 2.

User Avatar

Wiki User

13y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: You are shown part of a convex n-gon The pattern of congruent angles continues around the polygon Use the Polygon Exterior Angles theorem to find the value of n?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Continue Learning about Geometry

What is the name of the missing polygon in this pattern do decagon decagon octagon quadrilateral?

It is a hexagon which is 6 sided polygon.


What is the difference between a histogram and polygon?

1. A histogram is two-dimensional while a polygon has more than four dimensions. 2. A histogram may be drawn from a histogram by joining the mid points of upper horizontal sides of each rectangle. But a histogram can not be drawn from a polygon. 3. The frequency polygon of several distributions can be plotted on the same axis while more than one histogram can not be drawn on the same axis. 4. It is possible to compare the polygon of several distributions as they can be plotted on the same axis. But to compare histogram we must have a graph for each distribution. 5. Polygon an outline of data pattern is sketched more clearly than histogram.


Is a square tangram congruent to a square pattern block?

no u ugly botan koli u look like a botom koli and speak like a botom koli


Do all pyramids have an even number of edges and why?

Yes because it follows an even pattern sequence starting from 6 8 10 12 ...etc whereas a triangular based pyramid has 6 edges, a square based has 10 edges, a pentagonal based has 10 and so on.


What is the sum of the internal angles of a pentagon?

The sum of the internal angles of a pentagon is 540 degrees.Here's how:**To find the sum of the internal/interior angles of a polygon there is a formula,(n - 2)180 where n is the number of sides.**n = 5 , a pentagon has 5 sides(n - 2)180(5 - 2)180(3)180540So a pentagon would have 540 degrees. If the formula is too complicated for you to remember, you can use a pattern: Add 180 degrees to the next shape. For example, a triangle has 180 degrees, a quadrilateral has 360 degrees, pentagon has 540, hexagon 720, etc. Each time you add a side you are adding 180 degrees.The sum of the internal angles of a pentagon is 540 degrees.540 degreesThe interior angles in a pentagon total 540 degreesThe sum of the interior angles of a polygon with n sides is equal to 180 x (n - 2). Therefore, the sum of the interior angles of a pentagon is equal to 180 x (5 - 2) = 180 x 3 = 540 degrees.108 degrees.You must work out the exterior angle first.To find exterior, you count the angles on the pentagon, which is 5.And divide it by 360 which you'd get 72 degrees.Now to find the interior, you know a straight line is 180 degrees, so 180 minus 72 which is 108.Viola!360 degreesI vote for 540 degrees.* * * * *There is no need to vote. It can be proven that the interior angles of a polygon with n sides add to (180*(n-2) degrees. For a pentagon that would be 180*(5-2) = 180*3 = 540 degrees.The 5 interior angles of a pentagon add up to 540 degreesTotal interior angles of a pentagon (360+180) = 540 degrees.A pentagon can be divided into a square and a triangle. The interior angles of a square are 360 and for a triangle are 180.540°The 5 interior angles add up to 540 degreesThey add up to 540 degrees540 degrees in total.108 degrees individually.540 degrees total. 108 degrees for each angle.(5-2)*180 = 540 degrees108o if a regular pentagon. Total is 540o irrespective of shape. (2n - 4) right angles.540 degreesYes that is correct because the interior angles of a 5 sided pentagon add up to 540 degrees.The 5 interior angles of a pentagon add up to 540 degrees

Related questions

If the pattern of polygons continues which polygon will have 12 sides?

A dodecagon is a 12 sided polygon


Which polygon has a magnituted of symmetry of 72 degrees?

A regular decagon; A 20-gon with 2 lots of 10 congruent sides and angles in an alternating pattern; A 30-gon with 3 lots of 10 congruent sides and angles in an 1-2-3-1-2-3 pattern; A 40-gon with 4 lots of 10 congruent sides and angles in an 1-2-3-4-1-2-3-4 pattern; etc.


What is the name of the missing polygon in this pattern do decagon decagon octagon quadrilateral?

It is a hexagon which is 6 sided polygon.


Is there a pattern for a polygon with odd numbered sides?

Yes


What continues the pattern for 2726101400?

A single number, such as 2726101400 does not describe a pattern.


What does teslate mean?

It is a pattern that continues keep on and on...


Is an ongoing decimal a rational no. or irrational noex. 2.586.....?

If the decimal is rational if it continues in a pattern. ex 2.586586586586586.... It is irrational if it continues forever without a pattern. ex 2.586943732434006843...


If the pattern continues which figure will contain 80 white triangles?

79


If a pattern continues in 3 and 8 what would be the 100th number?

128


What letter is next in the sequence s s a?

It the pattern continues as ssa ssa, then 's' would be next in the sequence. This is only if the pattern is a recurring pattern. If the pattern continues without recurrence of the given sequence, then 'a' would be next, because if 's' repeats itself twice, then 'a' would also.


What shape is the polygon being rotated to create the blue quilt block pattern?

Parallelogram


What is congruent communication?

A communication pattern in which the person sends the same message on both verbal and nonverbal levels.